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Finding the Fourth Proportional to 246.90, 340.74 and 136.40

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Solution

The fourth proportional to 246.90, 340.74 and 136.40 is: 188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.90 : 340.74 = 136.40 : x
  2. Step 2: Convert to fraction form
    246.90/340.74 = 136.40/x
  3. Step 3: Cross multiply
    246.90x = 340.74 × 136.40
  4. Step 4: Simplify right side
    246.90x = 46,476.94
  5. Step 5: Solve for x
    x = 46,476.94/246.90
  6. Step 6: Final answer
    x = 188.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.